In: Statistics and Probability
25 players were asked about their salary. They were classified into pitchers and non-pitchers and the following results were obtained: 14 launchers with sample mean of 4,296,106 and sample standard deviation of 4,434,937. 11 non-pitchers with sample mean of 4,167,579 and sample standard deviation of 4,484,641. Assume that the population deviations are the same. Considering a significance level of 0.05, what can be concluded (using p-value)? And mention the type of error that is being made. Construct a confidence interval for the difference in wages of 95%